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The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of4 :3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?
- a)0.60 inch
- b)0.70 inch
- c)0.80 inch
- d)0.90 inch
Correct answer is option 'C'. Can you explain this answer?
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The average rainfall in a city for the first four days was recorded to...
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The average rainfall in a city for the first four days was recorded to...
Given:
Average rainfall for the first four days = 0.40 inch
Ratio of rainfall on last two days = 4:3
Average rainfall for six days = 0.50 inch
To find:
Rainfall on the fifth day
Solution:
1. Total rainfall for the first four days = 0.40 x 4 = 1.60 inch
2. Let the rainfall on the fifth day be x inch
3. Total rainfall for six days = 0.50 x 6 = 3.00 inch
4. Total rainfall for the last two days = 4y + 3y = 7y (where y is a common factor)
5. Total rainfall for all six days = 1.60 + x + 7y = 3.00
6. Simplifying, we get: x + 7y = 1.40
7. Since the ratio of rainfall on last two days is 4:3, let the rainfall be 4z and 3z, respectively
8. So, 7y = 4z + 3z = 7z
9. Substituting 7y = 7z in equation (6), we get: x = 1.40 - 7z
10. Since the average rainfall for six days is 0.50 inch, we can write:
(1.60 + x + 7y)/6 = 0.50
(1.60 + 1.40 - 7z + 7z)/6 = 0.50
3/6 = 0.50
1.00 = 0.50
This is not possible, which means our assumption that the rainfall on the fifth day is x inch is wrong
11. Let's assume that the rainfall on the sixth day is y inch
12. So, the total rainfall for all six days can be written as:
1.60 + x + 4z + 3z + y = 3.00
1.60 + x + 7z + y = 3.00
Substituting x = 1.40 - 7z, we get:
1.60 + 1.40 - 7z + 7z + y = 3.00
y = 0.80 inch
Therefore, the rainfall on the fifth day was 0.80 inch (Option C)
Average rainfall for the first four days = 0.40 inch
Ratio of rainfall on last two days = 4:3
Average rainfall for six days = 0.50 inch
To find:
Rainfall on the fifth day
Solution:
1. Total rainfall for the first four days = 0.40 x 4 = 1.60 inch
2. Let the rainfall on the fifth day be x inch
3. Total rainfall for six days = 0.50 x 6 = 3.00 inch
4. Total rainfall for the last two days = 4y + 3y = 7y (where y is a common factor)
5. Total rainfall for all six days = 1.60 + x + 7y = 3.00
6. Simplifying, we get: x + 7y = 1.40
7. Since the ratio of rainfall on last two days is 4:3, let the rainfall be 4z and 3z, respectively
8. So, 7y = 4z + 3z = 7z
9. Substituting 7y = 7z in equation (6), we get: x = 1.40 - 7z
10. Since the average rainfall for six days is 0.50 inch, we can write:
(1.60 + x + 7y)/6 = 0.50
(1.60 + 1.40 - 7z + 7z)/6 = 0.50
3/6 = 0.50
1.00 = 0.50
This is not possible, which means our assumption that the rainfall on the fifth day is x inch is wrong
11. Let's assume that the rainfall on the sixth day is y inch
12. So, the total rainfall for all six days can be written as:
1.60 + x + 4z + 3z + y = 3.00
1.60 + x + 7z + y = 3.00
Substituting x = 1.40 - 7z, we get:
1.60 + 1.40 - 7z + 7z + y = 3.00
y = 0.80 inch
Therefore, the rainfall on the fifth day was 0.80 inch (Option C)
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The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of4 :3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?a)0.60 inchb)0.70 inchc)0.80 inchd)0.90 inchCorrect answer is option 'C'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of4 :3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?a)0.60 inchb)0.70 inchc)0.80 inchd)0.90 inchCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of4 :3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?a)0.60 inchb)0.70 inchc)0.80 inchd)0.90 inchCorrect answer is option 'C'. Can you explain this answer?.
The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of4 :3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?a)0.60 inchb)0.70 inchc)0.80 inchd)0.90 inchCorrect answer is option 'C'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of4 :3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?a)0.60 inchb)0.70 inchc)0.80 inchd)0.90 inchCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of4 :3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?a)0.60 inchb)0.70 inchc)0.80 inchd)0.90 inchCorrect answer is option 'C'. Can you explain this answer?.
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